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A 1.5m solution of acetic acid (I) is mi...

A `1.5m` solution of acetic acid `(I)` is mixed with `3 m` solution of the acetic acid `(II)` to prepare `2 m` solution (m is molality of solution). Select the correct statement(s) :

A

Mass ratio of solvents mixed `((I)/(II))` is `(1)/(2)`

B

Mass ratio of solvents mixed `((I)/(II))` is `(2)/(1)`

C

Mass ratio of solutions mixed `((I)/(II))` is `(109)/(59)`

D

Mass ratio of solution mixed `((I)/(II))` is `(59)/(109)`

Text Solution

Verified by Experts

The correct Answer is:
B, C

A `1.5m` solution ………….
Let mass of solvent in `1.5m `solution `= m_(1) kg` and let mass of solvent in `3m` solution `=m_(2) kg`. Therefore molality of resulting solution `= (1.5m_(1)+3m_(2))/(m_(1)+m_(2)) = 2`
`:. (m_(1))/(m_(2)) = (2)/(1)`
Therefore required radio `= (109)/(59)` .
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